What is the Greatest Common Factor of 1209 and 1226?

Greatest common factor (GCF) of 1209 and 1226 is 1.

GCF(1209,1226) = 1

We will now calculate the prime factors of 1209 and 1226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1209 and 1226.

How to find the GCF of 1209 and 1226?

We will first find the prime factorization of 1209 and 1226. After we will calculate the factors of 1209 and 1226 and find the biggest common factor number .

Step-1: Prime Factorization of 1209

Prime factors of 1209 are 3, 13, 31. Prime factorization of 1209 in exponential form is:

1209 = 3¹ × 13¹ × 31¹

Step-2: Prime Factorization of 1226

Prime factors of 1226 are 2, 613. Prime factorization of 1226 in exponential form is:

1226 = 2¹ × 613¹

Step-3: Factors of 1209

List of positive integer factors of 1209 that divides 1209 without a remainder.

1, 3, 13, 31, 39, 93, 403

Step-4: Factors of 1226

List of positive integer factors of 1226 that divides 1209 without a remainder.

1, 2, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1209 and 1226. The biggest common factor number is the GCF number.
So the greatest common factor 1209 and 1226 is 1.

Also check out the Least Common Multiple of 1209 and 1226